Results 221 to 230 of about 43,774 (252)

Convergence in Variation for Bernstein-Type Operators

Mediterranean Journal of Mathematics, 2015
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Bascanbaz-Tunca, Gulen, İNCE İLARSLAN, HATİCE GÜL   +1 more
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Two families of Bernstein–Durrmeyer type operators

Applied Mathematics and Computation, 2014
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Cárdenas-Morales, Daniel, Gupta, Vijay
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Modified $$\alpha $$-Bernstein–Durrmeyer-Type Operators

Iranian Journal of Science and Technology, Transactions A: Science, 2021
In this paper, we construct a Durrmeyer variant of the modified $$\alpha $$ -Bernstein-type operators introduced by Kajla and Acar (Ann Funct Anal 10(4):570–582, 2019), for $$\alpha \in [0,1]$$
P. N. Agrawal, Arun Kajla, Sompal Singh
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Bernstein-Type Operators Diminish the $\phi$-Variation

Constructive Approximation, 1996
We show that a large class of Bernstein-type operators usually considered in approximation theory diminish the total and the fine φ-variation, thus extending a classical result on 1-variation diminution concerning the Bernstein polynomials. Also, the closely related problem of approximation in φ-variation is thoroughly discussed. For these purposes, we
J. A. Adell, J. de la Cal
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Exponential-Type or Bernstein-Type Operators

1987
Relations between the rate of convergence of several well-known and much studied approximation operators and the modulus presented in this book will be studied. Earlier partial results on the subject were important for motivating the investigation of ω ϕ r (f,t) p . Results given in detail in this chapter are new.
Z. Ditzian, V. Totik
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q-Bernstein-Type Integral Operators

2013
In order to approximate integrable functions on the interval [0,1], Kantorovich gave modified Bernstein polynomials. Later in the year 1967 Durrmeyer [58] considered a more general integral modification of the classical Bernstein polynomials, which were studied first by Derriennic [47].
Ali Aral, Vijay Gupta, Ravi P. Agarwal
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Approximation properties of Bernstein–Durrmeyer type operators

Applied Mathematics and Computation, 2014
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Cárdenas-Morales, D., Garrancho, P., Raşa, I.   +2 more
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Approximation Properties by Bernstein–Durrmeyer Type Operators

Complex Analysis and Operator Theory, 2011
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Lower Estimates for Centered Bernstein-Type Operators

Constructive Approximation, 2001
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Bernstein-Durrmeyer type operators preserving linear functions

2010
Many well-known approximating operators preserve linear functions. However, the operators introduced by the first author [Soochow J. Math. 23, No. 1, 115--118 (1997; Zbl 0869.41016)], as well as by the first author and \textit{P. Maheshwari} [Riv. Mat. Univ. Parma (7) 2, 9--21 (2003; Zbl 1050.41015)] do not preserve the test function \(e_1\).
Gupta, V., Duman, O.
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